Find the Derivative of the Function $p ( x ) = 3 + 2 \sin \left( \frac { \pi } { 2 } ( x - 1 ) \right)$

question 2

Multiple Choice

Find the derivative of the function. $p ( x ) = 3 + 2 \sin \left( \frac { \pi } { 2 } ( x - 1 ) \right)$

• A) \(p ^ { \prime } ( x ) = \pi \cos \left( \frac { \pi } { 2 } ( x - 1 ) \right)\)
• B) \(p ^ { \prime } ( x ) = 2 \cos \left( \frac { \pi } { 2 } ( x - 1 ) \right)\)
• C) \(p ^ { \prime } ( x ) = \pi \cos \left( \frac { \pi } { 2 } ( x + 1 ) \right)\)
• D) \(p ^ { \prime } ( x ) = \pi \sin \left( \frac { \pi } { 2 } ( x - 1 ) \right)\)
• E) \(p ^ { \prime } ( x ) = 3 + \pi \cos \left( \frac { \pi } { 2 } ( x - 1 ) \right)\)

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Definitions:

Sociocultural Theories

Theories that emphasize the role of society and culture in shaping human development, cognition, and behavior.

Post-Colonial Theorists

Scholars who analyze and critique the cultural legacies of colonialism and imperialism, focusing on the human consequences of the control and exploitation of colonized people and their lands.

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Sociologists who view society as a complex system of interdependent parts that work together to ensure stability and harmony.

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Scholars and researchers who study the symbols, practices, and social structures that constitute cultures and how they change over time.